Solve (18-10)² + 3³: Combined Square and Cube Number Problem

Question

Solve the following question:

(18−10)2+33= (18-10)^2+3^3=

Video Solution

Solution Steps

00:00 Solve
00:03 Always calculate parentheses first
00:16 Calculate the powers
00:22 Add and solve
00:26 And this is the solution to the question

Step-by-Step Solution

To solve the expression (18−10)2+33 (18-10)^2+3^3 , we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

  • Step 1: Parentheses
    First, solve the expression inside the parentheses: 18−10 18-10 .
    18−10=8 18-10 = 8

  • Step 2: Exponents
    Next, apply the exponents to the numbers:
    (8)2 (8)^2 and 33 3^3 .
    82=64 8^2 = 64
    33=27 3^3 = 27

  • Step 3: Addition
    Finally, add the results of the exponentiations:
    64+27 64 + 27
    64+27=91 64 + 27 = 91

Thus, the final answer is 91 91 .

Answer

91

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Related Subjects

Powers Exponents and Exponent rules The Order of Operations Order of Operations: Roots Basis of a power Order of Operations: Exponents Order of Operations with Parentheses The exponent of a power Order or Hierarchy of Operations with Fractions Exponents and Roots - Basic

Question Types

Parentheses in advanced Order of Operations: Solving an exercise Parentheses in advanced Order of Operations: Using parentheses Parentheses in advanced Order of Operations: Solving the problem Powers and Roots: Solving an exercise Powers and Roots: Using parentheses Powers and Roots: Solving the problem Powers: Solving the problem